Explain if the following are true or false absent an explan

. Explain if the following are true or false; absent an explanation that substantiated the true-false answer, zero points will result.

4.1   Given any distribution’s mean and standard deviation, the Z transform can be used to convert it to N(0,1)

4.2   The T distribution with a smaller versus larger sample yields a smaller confidence interval, smaller p value, etc.

4.3   As is increased, the confidence interval is increased

4.4   In substituting the normal for the Binominal, mean 37 and standard deviation 2, the probability that a random observation inclusively is between 30 and 40 = normCDF(30,40,37,2)

4.5   With the Normal distribution, equal X or Z intervals yield equal probability

4.6 The Normal and T distributions have nothing in common and are unrelated

4.7   Given a two tailed test, the smaller p value from either tail is compared to

4.8   There are no constraints in testing the population proportion

4.9   The Central Limit Theorem applies principally to normal populations

4.10 The following illustrates nothing: invNorm(normCDF(-, Xo,,))

Solution

4.1 True

yes it is because for use Z transform you need the mean and standard deviation

4.2 True

when you have a smaller sample you will get a smallar p value

4.3 false

because that is the error if you have a minor error you will get more confidence interval

4.4False

for use the binomila you need to use probability of success and fail

4.5 true

because Z is a standarization of any distribution

4.6 false

they have a lot of in common because the process for find any value is almost the same

4.7 false

is compared to alpha/2